On the residual finiteness of outer automorphisms of relatively hyperbolic groups

V. Metaftsis; M. Sykiotis

On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Group Theory 2007-05-23 v3 Geometric Topology

Authors: V. Metaftsis , M. Sykiotis

Abstract

We show that every virtually torsion-free subgroup of the outer automorphism group of a conjugacy separable hyperbolic group is residually finite. As a result, we are able to prove that the group of outer automorphisms of every finitely generated Fuchsian group and of every free-by-finite group is resudually finite. We also generalize the main result for relatively hyperbolic groups.

Keywords

outer automorphism groups relatively hyperbolic groups residual finiteness conjugacy separable fuchsian groups free-by-finite groups

Cite

@article{arxiv.math/0504212,
  title  = {On the residual finiteness of outer automorphisms of relatively hyperbolic groups},
  author = {V. Metaftsis and M. Sykiotis},
  journal= {arXiv preprint arXiv:math/0504212},
  year   = {2007}
}

Comments

12 pages, an addendum is added that generalizes the reults for relatively hyperbolic groups

On the residual finiteness of outer automorphisms of relatively hyperbolic groups

Abstract

Keywords

Cite

Comments

Related papers